{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--BOOK_INFORMATION-->\n",
    "<img align=\"left\" style=\"padding-right:10px;\" src=\"figures/PDSH-cover-small.png\">\n",
    "\n",
    "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n",
    "\n",
    "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [In Depth: Linear Regression](05.06-Linear-Regression.ipynb) | [Contents](Index.ipynb) | [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.07-Support-Vector-Machines.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# In-Depth: Support Vector Machines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Support vector machines (SVMs) are a particularly powerful and flexible class of supervised algorithms for both classification and regression.\n",
    "In this section, we will develop the intuition behind support vector machines and their use in classification problems.\n",
    "\n",
    "We begin with the standard imports:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "\n",
    "# use seaborn plotting defaults\n",
    "import seaborn as sns; sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Motivating Support Vector Machines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As part of our disussion of Bayesian classification (see [In Depth: Naive Bayes Classification](05.05-Naive-Bayes.ipynb)), we learned a simple model describing the distribution of each underlying class, and used these generative models to probabilistically determine labels for new points.\n",
    "That was an example of *generative classification*; here we will consider instead *discriminative classification*: rather than modeling each class, we simply find a line or curve (in two dimensions) or manifold (in multiple dimensions) that divides the classes from each other.\n",
    "\n",
    "As an example of this, consider the simple case of a classification task, in which the two classes of points are well separated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAFVCAYAAAA6zUwUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11602a4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "X, y = make_blobs(n_samples=50, centers=2,\n",
    "                  random_state=0, cluster_std=0.60)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A linear discriminative classifier would attempt to draw a straight line separating the two sets of data, and thereby create a model for classification.\n",
    "For two dimensional data like that shown here, this is a task we could do by hand.\n",
    "But immediately we see a problem: there is more than one possible dividing line that can perfectly discriminate between the two classes!\n",
    "\n",
    "We can draw them as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAFVCAYAAAA6zUwUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1188979e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plt.plot([0.6], [2.1], 'x', color='red', markeredgewidth=2, markersize=10)\n",
    "\n",
    "for m, b in [(1, 0.65), (0.5, 1.6), (-0.2, 2.9)]:\n",
    "    plt.plot(xfit, m * xfit + b, '-k')\n",
    "\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These are three *very* different separators which, nevertheless, perfectly discriminate between these samples.\n",
    "Depending on which you choose, a new data point (e.g., the one marked by the \"X\" in this plot) will be assigned a different label!\n",
    "Evidently our simple intuition of \"drawing a line between classes\" is not enough, and we need to think a bit deeper."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Support Vector Machines: Maximizing the *Margin*\n",
    "\n",
    "Support vector machines offer one way to improve on this.\n",
    "The intuition is this: rather than simply drawing a zero-width line between the classes, we can draw around each line a *margin* of some width, up to the nearest point.\n",
    "Here is an example of how this might look:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAFVCAYAAAA6zUwUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11889a710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "\n",
    "for m, b, d in [(1, 0.65, 0.33), (0.5, 1.6, 0.55), (-0.2, 2.9, 0.2)]:\n",
    "    yfit = m * xfit + b\n",
    "    plt.plot(xfit, yfit, '-k')\n",
    "    plt.fill_between(xfit, yfit - d, yfit + d, edgecolor='none',\n",
    "                     color='#AAAAAA', alpha=0.4)\n",
    "\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In support vector machines, the line that maximizes this margin is the one we will choose as the optimal model.\n",
    "Support vector machines are an example of such a *maximum margin* estimator."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fitting a support vector machine\n",
    "\n",
    "Let's see the result of an actual fit to this data: we will use Scikit-Learn's support vector classifier to train an SVM model on this data.\n",
    "For the time being, we will use a linear kernel and set the ``C`` parameter to a very large number (we'll discuss the meaning of these in more depth momentarily)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=10000000000.0, cache_size=200, class_weight=None, coef0=0.0,\n",
       "  decision_function_shape=None, degree=3, gamma='auto', kernel='linear',\n",
       "  max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
       "  tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import SVC # \"Support vector classifier\"\n",
    "model = SVC(kernel='linear', C=1E10)\n",
    "model.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To better visualize what's happening here, let's create a quick convenience function that will plot SVM decision boundaries for us:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot_svc_decision_function(model, ax=None, plot_support=True):\n",
    "    \"\"\"Plot the decision function for a 2D SVC\"\"\"\n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    xlim = ax.get_xlim()\n",
    "    ylim = ax.get_ylim()\n",
    "    \n",
    "    # create grid to evaluate model\n",
    "    x = np.linspace(xlim[0], xlim[1], 30)\n",
    "    y = np.linspace(ylim[0], ylim[1], 30)\n",
    "    Y, X = np.meshgrid(y, x)\n",
    "    xy = np.vstack([X.ravel(), Y.ravel()]).T\n",
    "    P = model.decision_function(xy).reshape(X.shape)\n",
    "    \n",
    "    # plot decision boundary and margins\n",
    "    ax.contour(X, Y, P, colors='k',\n",
    "               levels=[-1, 0, 1], alpha=0.5,\n",
    "               linestyles=['--', '-', '--'])\n",
    "    \n",
    "    # plot support vectors\n",
    "    if plot_support:\n",
    "        ax.scatter(model.support_vectors_[:, 0],\n",
    "                   model.support_vectors_[:, 1],\n",
    "                   s=300, linewidth=1, facecolors='none');\n",
    "    ax.set_xlim(xlim)\n",
    "    ax.set_ylim(ylim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAFVCAYAAAA6zUwUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAH6sncTGlP8LAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119058128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(model);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the dividing line that maximizes the margin between the two sets of points.\n",
    "Notice that a few of the training points just touch the margin: they are indicated by the black circles in this figure.\n",
    "These points are the pivotal elements of this fit, and are known as the *support vectors*, and give the algorithm its name.\n",
    "In Scikit-Learn, the identity of these points are stored in the ``support_vectors_`` attribute of the classifier:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.44359863,  3.11530945],\n",
       "       [ 2.33812285,  3.43116792],\n",
       "       [ 2.06156753,  1.96918596]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.support_vectors_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A key to this classifier's success is that for the fit, only the position of the support vectors matter; any points further from the margin which are on the correct side do not modify the fit!\n",
    "Technically, this is because these points do not contribute to the loss function used to fit the model, so their position and number do not matter so long as they do not cross the margin.\n",
    "\n",
    "We can see this, for example, if we plot the model learned from the first 60 points and first 120 points of this dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABCIAAAF6CAYAAADMNPluAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAAAAhvk/ah7LRkczA1wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119060cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_svm(N=10, ax=None):\n",
    "    X, y = make_blobs(n_samples=200, centers=2,\n",
    "                      random_state=0, cluster_std=0.60)\n",
    "    X = X[:N]\n",
    "    y = y[:N]\n",
    "    model = SVC(kernel='linear', C=1E10)\n",
    "    model.fit(X, y)\n",
    "    \n",
    "    ax = ax or plt.gca()\n",
    "    ax.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    ax.set_xlim(-1, 4)\n",
    "    ax.set_ylim(-1, 6)\n",
    "    plot_svc_decision_function(model, ax)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "for axi, N in zip(ax, [60, 120]):\n",
    "    plot_svm(N, axi)\n",
    "    axi.set_title('N = {0}'.format(N))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the left panel, we see the model and the support vectors for 60 training points.\n",
    "In the right panel, we have doubled the number of training points, but the model has not changed: the three support vectors from the left panel are still the support vectors from the right panel.\n",
    "This insensitivity to the exact behavior of distant points is one of the strengths of the SVM model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you are running this notebook live, you can use IPython's interactive widgets to view this feature of the SVM model interactively:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFVCAYAAAAzJuxuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8G/Wd//GXfN/3fR+yZ2Q7cZyEEgKlkBKuQilXuQsp\nvSjdbvv49d5uj91uu+z22m6B0qXlWs4u7ZKyFAqEAuUIBZJAEs34PhOf8S1LtqT5/WFbxMgBx5E8\nlvx5/hfNV9LHE0lvaeYz36/FMAwDIYQQQpgiwuwChBBCiLVMglgIIYQwkQSxEEIIYSIJYiGEEMJE\nEsRCCCGEiSSIhRBCCBNFLfeOv/71r9m1axczMzNcffXVXHrppYGsSwghhFgTlhXEr732Gnv27OGh\nhx7C4XDw29/+NtB1CSGEEGuCZTkTevz0pz/FYrHQ1NTE5OQkX/va16itrQ1GfUIIIURYW9Yv4uHh\nYQ4dOsQdd9xBV1cXN910E08++WSgaxNCCCHC3rKCOC0tjcrKSqKioigvLyc2NpYjR46QkZFxzPsY\nhoHFYll2oUIIIUQ4WlYQb9q0ifvuu48bbriBvr4+nE4n6enp73kfi8XCwMD4sooUS5OdnSz7OMhk\nH68M2c/BJ/s4+LKzk5c0bllBfMYZZ/D6669z2WWXYRgG3/3ud+XXrhBCCLEMy7586Stf+Uog6xBC\nCCHWJJnQQwghhDCRBLEQQghhIgliIYQQwkQSxEIIIYSJJIiFEEIIE0kQCyGEECaSIBZCCCFMJEEs\nhBBCmEiCWAghhDCRBLEQQghhIgliIYQQwkQSxEIIIYSJJIiFEEIIE0kQCyGEECaSIBZCCCECxDAM\nDh8+xEsvvbjk+yx7PWIhhBBCvMPlcnHPPb9hZGQEgI997Pwl3U+CWAghhAiA2NhYUlPTKCgoQlVt\nS76fBLEQQgixBIZhMDAwgK7bqa5WyM3N8xvz8Y9fhcViOa7HlSAWQggh3sPg4CC6bkfT7AwNDQIw\nMzOzaBAfbwiDBLEQQghxTG+//RZ/+tPjAERFRVFdraAoNiorrQF7DgliIYQQ4hjKysqwWqtQ1Roq\nK63ExsYG/DkkiIUQQqxZo6MjaJpGZ2c7l176cSIiFl7Vm5ycwiWXXB7UGiSIhRBCrCljY6Pouoam\n2Tl8+BAAERERDA4OkpOTs+L1SBALIYRYU5544nE6OzuIiIigrKwcVbVhtVaTkJBgSj0SxEIIIcKS\nYRiLdjFv3vwBVNVGVZVCYmKiCZUtJEEshBAibExOTtLUpKNpdjIzM9m+/Vy/MVZrlQmVHZsEsRBC\niJA2PT2N3X4ATbPT2dmBYRgAQelwDgYJYiHEipiZmcHlcpKYmLSsSQ+EOJaZmRn+/OcnMQyDgoJC\nFEVFVW0kJ6eYXdqSSBALsUxOp5OX7r4Ty5438cTGknbeRzjpvAvMLmvVGR8b5YV//Abpf32RxIlx\nBqoVUq//FCdd9nGzSxMhxul0EhMT43eJUWJiIhdccBEFBQWkpqaZVN3ySRALsQyTk5P8+dqPc91L\nLxI/d1vno4/w+I5PccEPbjG1ttXEMAye/tT1fPovu95Zc3X3q7xtP8iehHgazr/QzPJECHC5XDQ3\nN6HrdtraWrn44suoqKj0G2ez1ZhQXWBIEAuxDC/8/N+58aUXiTzqtpKZGT5w3z1oH7sUdfMHTKtt\nNXnzmT9z3l9f8Fv4fN3YGG//9z0gQSyOobOzgzfffJ3W1hbcbjcA2dk5GIbX5MoCT4JYiGWIf+P1\nBSE8r3bKwQN/fEyCeM6RfXsomfsQfbe4jvaVLUaElNHRERobdbKyslFVG4piIzMz0+yygkKCWIjl\n8B77W7m0Ib0jtrCIMWCxlpnpzKyVLkesMjMzMwwNDZKXl++3rbpaJS+vgOzsbBMqW1nvPmIkhFiC\nqU0nsVgUa3FxFHxEDrfOO+WyK9hZt97v9sGICCKksW1NcrvdNDc38cc/Psatt/4HjzzyoO/Q89Fi\nY2PXRAiD/CIWYlk++OWv8Ju/7eYTr77M/JWKhyIjefnq67jwA1tMrW01iY6Opupn/8k93/oaZ+55\ngzy3mxdyczl0ycc593M3m12eWEGGYfDnPz+Jph3E5XIBkJaWhqLYcLvdREWt3Thau3+5ECcgKSmZ\ncx7+A7+/8w4i972JJzaOpLPP44KPfszs0ladivoGyh//M/v++gKv9nRTv/1c6sP0XJ84NovFwuTk\nBLGxsaxfvwFVtZGXly/XlAMWY34KkmW45JJLSEpKAqCoqIgf/vCH7zl+YGB8uU8lliA7O1n2cZDJ\nPl4Zsp+DLxj72Ov10tnZQXx8PLm5eX7bp6amiIuLWzPhm52dvKRxy/5FPD09DcC999673IcQQggR\n4rxeL11dnei6ncbGRhyOSWy2Wi688CK/sfHx8Ys8glh2EGuahsPh4MYbb8Tj8fDlL3+Z+vr6QNYm\nhBBiFevtPcyjj/6OyckJABISEmlo2IjNVmtyZaFl2UEcFxfHjTfeyOWXX057ezuf/vSneeqpp/ym\nHhNCCBGe0tMziIyMoL6+AVW1UVxcIhmwDMs+Rzw9PY1hGL7VLS6//HJ++ctfkpubG9AChRBCmMMw\nDHp6ejh48CBnnnkm0dHRi45ZK+d8g2XZv4gfffRRGhsb+e53v0tfXx+Tk5Pve82XNF8ElzS4BJ/s\n45Uh+zn4jrWPDcOgr68XTbOj63ZGR0cBSEhIR1HUlS4zpAW9Weuyyy7jm9/8JldffTURERH88Ic/\nlEMSQggR4p555in27HkTmJ1Uo7Z2HaqqUlpabnJl4WvZQRwdHc2Pf/zjQNYihBDCZOXllTidLlTV\nRnl5xZqeaGOlyB4WQog1ZHBwEF23Ex8fycaNW/22W61VWK1VJlS2dkkQCyFEmBsaGkLX7WiancHB\nAQCystKorz+ZyMjF1hETK0mCWAghwpjb7ea+++5ienqayMhIqqqqURQbW7Y0MDY2bXZ5AgliIYQI\nG4tdShQVFcWpp36Q+PgErNYq4uLiAOYuPZUgXg0kiIUQIoSNjY2iaRq6bqehYRN1dev8xpx00skm\nVCaWSoJYCCFCzMTEBJp2EF3X6OnpBiAiIoKRkWGTKxPLIUEshBAhpq/vMLt2PYPFYqG0tAxVtWG1\nVpOYmGh2aWIZJIiFEGKVcrlcvmmEj1ZWVsHZZ5+L1VrtW4pWhC4JYiGEWEUcDgdNTTp2+0EOHerh\nppv+zm/5wMjISDZs2GhShSLQJIiFEGIVsNsP8vbb++js7MDr9QJQWFjExMSErOMb5iSIQ5zH4+Hl\n3z3E9N9eIzYzldwLLqFq/QazyxJCHKeOjnba29vIzy9AUWwoikJqaprZZYkVsOxlEJdDVlMJrKmp\nKf7v+qu54i/PkjF32xtJSbR8+auc+XdfNrW2cCWrAq2McN3PLpcLh2OS9PQMv23zHc9paekrUku4\n7uPVJOirLwnzPf/TW/j0X55d8J+4aWKCqf/8OT0XfozCMlktRQizuVwuWlqa0XU7bW2tFBYWccUV\nV/uNW6kAFquPBHEIi3315UX/A08dGeaBh++n8OvfXvGahBCzJicneeaZp2hpacbtdgOQlZVNaWnZ\nojNgibVLgjiERcy4F73dAliOsU0IsTLi4+Pp6uoiNTUVVa1BUWxkZWWZXZZYhSSIQ9jU+np483W/\n2+1x8ZSc9xETKhJibXG73b4Gq3dPphEREcENN9xIYmKi/PoV70mCOIRt/NJXePBvu7nywH7m3+ZH\nLBb+etnH+dimk0ytTYhw5fF4aG9vRdM0mpsbcblcnHXW2WzcuNlvrEy2IZZCgjiE5RQU0vDw//Lf\nt/2CuIP7iU5LwXPamVx03Q1mlyZEWDpwYD/PPvtnnE4nAKmpqdTXN1BcXGpyZSKUSRCHuMycHM79\n3g8AuRxBiGBLSUkhOjqGurr1qKqN/PwCOewsTpgEsRBCzPF6vXR1dXL48GG2bDnFb3tRUTGf+9zN\nEr4ioCSIhRBrmtfrpbu7C123o+s6DsckADU1NaSkpC4YKwEsgkGCWAixpt1//70cPnwIgPj4BDZs\naEBRbCQlLW1WJCFOlASxEGJNq6y0kp2dg6raKCkpJSIiwuySxBojQSyECFuGYdDbexhNs5OVlcW6\ndfV+Y7ZuPc2EyoR4hwSxECKsGIZBf38fmmZH1+2MjIwAUFJSumgQC2E2CWIhRFjp7+/jnnt+C0BM\nTAw1NXWoqo0yWQRFrFISxEKIsJKTk0tDw0ZKS8spL68gOjra7JKEeE8SxEKIkDI0NISu29E0Oxdf\nfKnf2r4Wi4Xt2881qTohjp8EsRBi1RsZGcZuP4im2RkY6AcgKiqK/v5+vyAWItRIEAshVr233trH\nq6++TGRkJFZrFYpiw2qtIjY21uzShDhhEsRCiFVjZmZm0XO6dXXryMjIxGqtIi4uzoTKhAgeCWIh\nhKnGx8fmLjXSmJmZYceOT/mNycjIJCMj04TqhAg+CWKxaoyPjfLiD75Pwu5XiJh24Vy/gaov/D3l\ncu1n2PF6vezZ8wa6rtHd3QXMNlmVlJQyPT1tcnVCrCwJYrEquN1unr7uSj79ykv4JhhsaebxvW8S\nff/vKLJWmVmeCDCLxcLevW9y5MgRSkpKURSV6mqVxMREs0sTYsVJEItV4eWHH+DKo0N4zgVtrdx3\nx20U/fvPTKlLnJjJydmVjN4dsBaLhfPPv5Dk5BSSkpLMKE2IoJqYmCA7e2kLh0gQi1XB/dY+Uo+x\nLb65cUVrESdmamqKpiYdTbPT2dnBli1bOe200/3G5ecXmFCdEMEzNjaKpmnoup2+vl5uueVflnS/\nEwrioaEhLr30Uu666y7Ky2X6OLF8M0nJGMBiq726k1NWuhyxDH19fbzwwnN0dLTj9XoBKCgoJC0t\n3eTKhAie8fExdF1D1zV6eroBiIiIoKSkdMmPsewgdrvdfPe735VLCURArL9+B889eB/bBgcW3N4b\nFUXseR8xqSpxPKKiomhrayUvLx9FsaGqKqmpaWaXJUTATUyM09g4e9Tn3c2GNlsNVVUKCQkJS368\nZQfxLbfcwlVXXcUdd9yx3IcQwie/pJSOf/w+f/zxjzi3q4so4JW0dJquvIbzrrzG7PLEHJfLRUdH\nO1VV1VgsC49fZGZm8tnPfl7CV4SlyclJGhtnf/l2dXViGIYvfBVFpapKWXa/w7KC+Pe//z2ZmZmc\neuqp/OpXv1rWEwvxbluuupaJCy/i0Qfvx+ucovajF3N+aZnZZa1509PTtLQ0o+t2WltbcLvdXH/9\nJ8nNzfMbKyEswonD4VjQ72AYBgBFRcWoqo3qaoWkpKU1ZL0XizH/yMfh2muv9X0b1jSN8vJybr/9\ndjIz5YJ7IcLJs88+y6uvvsrMzAwAWVlZ1NXVsXHjRlJS5Ny9CD9TU1Nomsb+/ftpa2vz9TsUFxdT\nW1tLTU1NwF/7ywrio1133XX80z/905KatQYGxk/kqcT7yM5Oln0cZGttH7/66ivs379v7pxvDVlZ\nWX6HpINhre1nM8g+fofT6aSpqRFdt9Pe/k745ucXoCg2FEVZ1tGeFbt8aSXelEKI4HC73bS3tzEz\nM4PNVuO3/aSTPsDJJ2+R97kIOy6Xi+bmJnTdTltbKx6PB4Dc3DxUtQZFUVas4/+Eg/jee+8NRB1C\niBXi8Xjo6GhD0zSamxtxOp2kpqaiqja/wI2MjDSpSiECb3p6ekH4ut1uAHJyclFVG4qimrKspkzo\nIcQa4nQ6+fWvb8fpnAIgOTmFurr1i/4aFiIcTE9P09ragq7baWlp9oVvVlb2XPjaTO9vkiAWYg2J\ni4ujpKSElJQUFMVGQUGhHHYWYWdmZoa2tlZ03U5zc5Ov2TAzM3PusLONrKwsk6t8hwSxEGHE6/XS\n3d2FrttZt66evLx8vzEf+9ilJlQmRHC53W7a2lrRNDstLU2+VbwyMjLmGq5sZGdnr8ovnhLEQoQ4\nwzDo6elG0w6i6zqTkxMAxMTELhrEQoQLt9u9oN/B5XIBkJaWRkPDJlS1hpycnFUZvkeTIBYixO3d\n+yZPP/0UAPHxCdTXN6Ao6nHNdStEqFis2RAgNTWV+voGVNVGbm7eqg/fo0kQCxHirNYqent7URSV\n0tIy6XQWYcfr9dLR0Y6uazQ26n7NhqpqIz+/IKTC92gSxEKsYoZh0NfXi6bZ6enp5qqrriUiYuGq\nzcnJKZwnC2OIMOP1eunq6kTT7DQ26kxNOQBISkpm06bNqGpN2DQbShALsQr19/fPnfO1Mzw8DEBM\nTAzDw8OmX2ohRLAc3Wyo6zoOxyQAiYlJbNy4CUWxUVRUHBbhezQJYiFWoV27nqazs4OYmBhsthpU\ntYaysnKio6PNLk2IgJpvNpwP34mJ2Wk34+MT2LChAUWxUVxc4nckKJxIEAthIo/Hs+g53ZNPPoWG\nhk1UVFRK+IqwYxgGhw8f8nX6j4+PARAXF8/69RtQVRslJaVhHb5HkyAWYoUdOTKErmtomp3CwkLO\nPvs8vzHl5RUmVCZE8BiGQW/vYTTNjq7bGRubD9841q2rX9PNhhLEQqyAqakp9u3bg6bZ6e/vA2bn\ncZbrfEU4MwyD/v4+X/iOjIwAEBsbS23tOlRVpaysYk2G79EkiIVYAV6vl7/+9QUsFguVlVYUxYbV\nWkVcXJzZpQkRUIZhMDAwgK7b0bSDC5oNa2rqUFUbZWXlREVJ/MyTPSFEAI2NjZKYmOT3DT8xMZFL\nLrmM/PxC4uPjTapOiOCZD19dtzM0NARAdHQ0Ntvs3M7l5RXS73AMEsRCnKCJiXHfOd+enm4uu+wK\nKioq/cZVVFhNqE6I4BkaGpr75WtncHAAmA1fRVFR1RppNlwiCWIhlqmlpYnXXttNd3cXhmFgsVgo\nKSmVQ24irB3dbDgw0A9AVFQU1dUKimKjstJKTEyMyVWGFvnEEGKZHA4H3d1dFBUVoygq1dUqSUlJ\nZpclRMCNjAyjaRq6bqevrxeYbTa0Wqt8/Q6xsbEmVxm6JIiFeA8Oh4PBwYFFF1BQlNmmk+TkFBMq\nEyK4RkdH0HUdTTtIb+9hACIiIqioqERRbFRVVUuzYYBIEAvxLlNTUzQ3N6Jpdjo62omOjubmm//e\n75BzTEyMHIITYWV8fGzuUiONQ4d6gNnwLSsrR1VtVFUp0mwYBBLEQswxDIPHHvs9LS3NeDweAPLy\n8lEUG16v1+TqhAiO+WZDXdfo7u4CwGKxUFpa5gvfhIQEk6sMbxLEQsyxWCx4vV6ysrJRFBuqqpKW\nlm52WUIE3MTEBO3tGq+88rpfs+F8+CYmJppd5pohQSzWlOnpaVpamklNTaWgoNBv+0c/erF0PYuw\n5HA4aGyc7Xbu6uokISEGh2Namg1XAfnEEWFvZmaG1tYWNO0gra0tzMzMYLPVLhrEEsIinDgcDl+/\nQ2dnh+8US2FhEVu2bCInp1iaDVcB+dQRYa27u4vf/e4hZmZmAMjIyEBVZ2f6ESIcvbvZcD588/ML\nfKdcUlJSyc5OZmBg3ORqBUgQizCXnZ1DWlq6b37nnJycsFtUXAin00lzcxO6bqe9vc2v2VBVVVJT\n00yuUhyLBLEImubmJu699y503c74+DgJCYmUlpZy1VXXsmnTSQEJRI/HQ0dHG7qu8+EPb/e7nCg2\nNpYdOz51ws8jxGrjcrloaWlG1+20trb4wjcnJxdVtaEoKunpGSZXKZZCglgE3HPPPcsvf/kf2O0H\nuOaaT/CZz9xEYmIyU1MO9u9/m5tu+hQpKal89rOf5/LLrzzuQJ4N33Z0XaOpScfpdAJQWWmluloJ\nxp8kxKow32w4H75utxuArKzsufC1kZmZaXKV4nhJEIuAuu22/+TXv76Nf/zH73PBBRf5TXt35pkf\n5uabv8hf/vIs//zP32P37le55ZafHFeT1FNP/Yn9+98CIDk5hbq6dSiKbdHmKyFC3Xyzoa7baWlp\n9vU7ZGZm+vodsrKyTK5SnAgJYhEwd975K+677y7+7/+eprCw6JjjIiIi2LZtOx/4wBauv/5qvvnN\nr/Jv//bTJf8yVlUbMTHRqGoNhYVFcs5XhB23201bWyuaZqelpYnp6WlgttlQUWZ/+WZnZ8trP0xI\nEIuAePvtt/jZz37ME088854hfLSkpGTuvvt+LrjgbP7wh//hkksuxzAMuru70HU7Xq+Xs88+z+9+\nFRWViy4zKEQoc7vddHS0YbfPhq/L5QIgLS2NjRs3S7NhGJMgFgHx29/+ms985iZKS8v8tnU2N9H4\n8osU1a5D3XTSgm3JySl8/evf5ic/+VfS0tLQNI2JiXHfNo/HQ2Rk5Er8CUKsuPlmQ03TaG5u9PU7\npKamUl/fgKrayM3Nk/ANcxLE4oSNjAzz+OM7efnlNxbc7nQ6efKLN7Fh19NcMTZGU1wcO7ds5ZT/\nuI3s/ALfuG3bzuKLX/wcTzzxOCUlZaxfvwFFUSkpKZUQFmHH6/X6mg0bG3Wczilgvt9hPTZbDXl5\n+RK+a4gEsThhO3f+L2eeuY3s7OwFtz/zj9/ghv99lOi5f1c7nVj/sot7vvx3XPjQo75xcXFxXHzx\nZTgcDm6++YsSviLseL1euro60TQ7jY06U1MOYPb0zObNJ/maDSV81yYJYnHCuro6UdWaBbe5XC4y\nn3uWKKAX2A8cAM4ANr3yEq32g1TY3rnPhz60jUceeVBCWIQNr9fr63fQdR2HYxKAxMQkNm7chKLY\nKCoqlvAVEsTixE1NOcjIWHjtYldXFx39ffwSGJq7LQaYBNZNOXi2SV8QxAkJCb5fCUKEKsMw6Onp\nRtMOous6k5MTACQkJNLQsNEXvhERESZXKlYTCWJxwpKTUxgfH1twm9fr4YXkZDY4ndQCtUAVEA08\nl52NcvLWBePHx8dISUldqZKFCBjDMDh0qAddty9oNoyPT6C+vsHX7yDhK45l2UHs9Xr59re/TVtb\nGxEREXz/+9/HarUGsjYRAiYmxqmpqeM3v7ljwe2VlVa2XHYll/7X7ZTNzf4D4ADazr2AutzcBeNf\neulFbLaFh7eFWK0Mw6C39zCaZkfX7YyNzX4RjYuLY926ehRFpbS0TE61iCVZdhDv2rULi8XCgw8+\nyGuvvcZPf/pTbrvttkDWJlap4eEj6PrsuqaDgwN85jM38a1vfRVNs6Oqs6saRUZG8onv/wt/ycvn\n1d8/QkZXF6NZWUxtP4/zv/3dBY83Pj7GH/7wKC+88KoZf44QS2IYBv39fdjtB9F1O6Ojo8Bs+NbV\nrUdVVUpLyyV8xXFbdhCfddZZbNu2DYCenh5SU+WwYrjbs+cN3n77LXp7DwOzYVteXoHH4+Haa6/n\nrrv+i1tu+emC+5xx0xcwPnczDoeD+Pj4RQ/PPfLIQ3zwgx8i/6hLmoRYDWbDt3+u4crO8PAwADEx\nMdTU1KGqNsrKymUda3FCLIZhGCfyAN/4xjd45pln+MUvfsHWrVvf/w4iZO3cuZO9e/dSUVFBXV0d\niqIQHx8PwOHDh2loaOCee+7hnHPOWfJj2u12zjjjDHbu3MnJJ58crNKFOC79/f0cOHCAAwcOMDg4\nCMyGb3V1NbW1tVitVqKjo9/nUYRYmhMOYoChoSEuv/xynnjiCeLi4o45ThahDq5ALPQ9Pj7G1JST\nnJycRbdFRkaRkJCw6H13736VG264iltv/S+2bTvrfZ/r4MEDXHPN5Xz96//AlVdec0J1rxRZTH1l\nmLGfBwcH5xqu7AwNzYZvdHS0by3riorKsApfeS0HX3Z28pLGLft4ymOPPUZfXx+f+cxniI2NJSIi\nQroCQ9TExDiNjTqaZqe7u4vS0jKuuOJqv3HJySnv+Tgnn7yFu+56gE9+8lrOOec8duz4FOvXb/Ab\n197exr333sWDD97HD35wC5de+vGA/S1CHI8jR4Z8/Q4DA/0AREVFUV2toCg2KiutfmtcCxFoyw7i\ns88+m29+85tce+21uN1u/uEf/kFesCFmYmKcxx/fSVdXJ4ZhYLFYKCkpRVHUZT/mli2n8Pzzr3L/\n/fdw/fVXk5eXz8knn0JycjIOh4MDB95m3749XHHFNTzxxLOUl1cE8C8S4v2NjAyjabO/fPv7+4DZ\nfgertQpFsWG1Vvkt3ylEMAXk0PRSyWGQ4DreQ01er5fbb/8l6enpKIqKoqgkJS3tUMpSuN1udu16\nGl3XmZgYIyEhkeLiEs477wLfueVQI4fzVkag9/Po6AiapqHr9gXNhmVl5b7wfa/TauFIXsvBt9RD\n0xLEYWSxN9bU1BTNzY2Ul1eSlJTkd5/p6Wk5knEc5MNrZQRiP4+NjaLrGrqucehQDzC7FnZpaRmq\nasNqrQ7ZL4SBIK/l4Av6OWKxejmdTpqaGtF1O+3tbXi9Xs4662w2btzsN1ZCWISTiYlx3znfnp5u\nACwWC6WlZdhsNVit1cdsNhTCLBLEYWbv3jd59tmn8Xg8AOTm5vmaToQIRxMTEzQ2zv7y7e7uWtDv\noKo2qqoUEhMTzS5TiGOSIA4zmZlZZGRkoqo2FEX1W4xBiHAwOTlJU9Nsp//RzYZFRcUoikp1tbro\nqRghViMJ4hAzPT1Na2sLAwP9fPCDH/LbXlRUzI4dnzKhMiGCy+Fw0NzciN1+kK6uTrxeL4AvfAPd\nbCjESpEgDgEzMzO0tbWi63aam5uYmZkBYMOGBr9re2VtUxFO5psNNc1OR0e7L3wLCgp94SurdolQ\nJ0EcAu699y7fTD/p6emoag2KYpNv/yIsOZ1O9u1r5ZVXXqe9vc3X75CXl4+i2FBVldTUNJOrFCJw\nJIhDQF3depzOKVTVRk5OrvzqFWHH5XLR3NyErttpa2slLi6KyUmXr9lQURTS0zPMLlOIoJAgNpnH\n46Gjox1Ns1NQUMCGDRv9xpx88hYTKhMiuKanp2lpaUbX7bS2tuCeW7c6OzuHLVs2kZtbIs2GYk2Q\nIDaB1+ulo6MdXddobNRxOqcAmJpyLBrEQoSLmZkZWltb0LSDtLa2+PodMjOz5jr9bWRlZclkE2JN\nkSA2QV9fL7/73UMAJCUls2nTZhTFRmFhkcmVCRF4breb1tYWdN1OS0sz09PTAGRkZPj6HbKzs02u\nUgjzSBDafAeXAAAgAElEQVQH0fy1je+Wl5fPli1bKS+voKioWM75irDjdrtpb29D0+y0tDThcrmA\n2WbDjRtnv3jm5OTIa1+EHZfLRVNTI21trXzyk9cu6T4SxAFmGAY9Pd3ouh1d17nqqmv8mkwsFgun\nn36GOQUKESSz/Q5taJpGc3MjTqcTgNTUVDZs2CjNhiLsuVwubrvtF75TLkslQRwgfX29HDiwH13X\nGB8fAyAuLp4jR4ak21OErflmQ13XaGpq9PU7pKSksG5dPapqIy8vX8JXrAmxsbHU1taRlJSMotiW\nfD8J4gDRdY3XX3+NuLg41q2rR1FUSkvLiIyMNLs0IQLK6/XS2dnhazacmnIAkJycQl1dHapaQ35+\ngYSvCDvzzYa6bqe+voHS0jK/MWeffd5xP64E8XEwDIOpqalFV29Zv76ewsJCysoqJHxF2PF6vXR3\nd/lOuTgckwAkJiYtaDaU8BXhxu1209bW6ut3mG82TElJXTSIl0OC+H0YhsHAwMDcB5CdiIhIPvnJ\nT/uNS0tLJy0t3YQKhQgOwzAWhO/k5AQACQmJNDRsRFFsFBUVExERYXKlQgTPwYP7efLJJwBIS0tb\n0GwYKBLEx+DxeHjllZfQdTtDQ0MAREdHY7VWMTMzQ3R0tMkVChF4hmFw6FAPum5H0zQmJmav5Y2P\nT2DDhgYUxUZxcYmErwg7x7rKpapK4ciRI6iqjdzcvKAc9ZEgPoaIiAh0XWN0dHRucnkbFRWVxMTE\nmF2aEAFlGAa9vYex2w/S2KgxNvZOs+H69Rt8/Q4SviLceDweX79DZ2c7N974Wb9Ti/Hx8Zxxxrag\n1rHmg3h4+AjR0dF+CyhYLBY++tGLSUlJITY21qTqhAgOwzDo6+tF02ZPuYyOjgIQFxdHXd16VFWl\ntLRc+h1EWOrs7Jj74vlOs2FSUjLDw8NkZWWteD1rMohHRobRNA1dt9PX18vWradx2mmn+42T2X5E\nODEMg/7+fl+/w/DwMDB/ycU6X/hGRa3JjwWxhvztb7tpaWkmMTGJjRs3+fodzGo2XFPvuJ6ebnbt\neobDhw8Bs4efKyoqycvLN7kyIYLDMAwGBwfRtIPoup0jR44AEBMTg81Wi6raKC+vkPAVYccwDFwu\nF3FxcX7bTjnlVE466eRV02y4pt59cXHx9PX1UlZWjs1Wg9VaTXx8vNllCRFwg4ODcw1Xdt9a1tHR\n0aiqDVWtoby8QhoORdg5utlQ13WKioq58MKL/MYVFBSaUN2xhV0QT0yM09rawrp19X6HGTIzM7n5\n5r+X8BVh6ciRITRtNnwHBwcAiIqKkmZDEfYcDge7d7+CrtsXNBsmJITGZ31YBPHExARNTTq6rtHV\n1YlhGOTm5pGbm+c3VkJYhJPh4SPouoam2env7wMgMjKSqqpqFMVGZaVVmg1F2IuMjGTPnjeIjIwM\nyWbDkA/iZ555ij173sQwDACKiopRFJXk5BSTKxMiOEZGhtF1HU07SF9fLzD7QVRZaUVRbFitVYue\nFxMilM03G2ZkZPidVomNjeWqq64lOzsnJPsdQq/id0lOTqWgoHDu8JsEsAhPY2Ojvk7/o5sNy8sr\nUFWb9DuIsDU/s6GmHeTIkSNcdNElKIrqNy4/v8CE6gJj1Qex0+mkqakRMFi3rt5v+wc+cDInn7xl\n5QsTIsjGx8fQdQ1d1+jp6QZmw7esrNwXvovNey5EONB1jb/+9YUFzYaKopKUlGRyZYG3KoN4fmFl\nXbfT3t6Gx+MhNTWVurr1fg1YMsm8CCcTE+M0Nupomp3u7i5g9jVeUlKKqtqoqlJITEw0uUohgs8w\nDEZHR6iuVnz9DuHabLjqgtjhcPCrX/0St9sNQE5OLqpqQ1FUCV0RliYnJ2ls1BY0G86Hr6KoVFUp\nYfkrQIjh4SP09/cveqjZaq3i5pv/fk00G666IE5ISEBRbKSnp6MoNjIzM80uSYiAczgcNDXN/vLt\n7OzwazacPQSX/D6PIkToGR0d8fU79PYeJioqirKycr/AjYqKCsnGq+VY8b/y6IWVN2/+wKIXVn/k\nIxeudFlCBN3U1BTNzY1omp2Ojna8Xi+Ar9lQVW3SbCjClmEYPPLIg3R0tAMLmw1Xw+xWZlqxINY0\njZdffn3BwsqZmVmrboYTIQJpvtlwvt9hPnzz8wtQFBuKopCammZylUIEn8ViISkpmdLSMl+/gzQb\nzlqxIH7ooYeYnHSRlpZGQ8MmVLUmoAsrC7FauFwumpub0HU7bW2teDweAHJz81AUG6qqkpaWbnKV\nQgTexMQEjY0a6ekZlJdX+G0///wLpNdnESsWxKeeeip5eaVBW1hZCDNNT08vCN/5ZsPs7Bxfs2FG\nhvQ7iPAzOTnp63eYbzasrLQuGsTy2b+4FQvi7du3MzAwvlJPJ0TQTU9P+/odWltbmJmZASArK3su\nfKXZUIS3np5uHnjgPl+zYWFhEapqo7paMbmy0LKsIHa73XzrW9+ip6eHmZkZPve5z7Ft27ZA1ybE\nqjMzMzN3ne9BWlqafeGbmZk5d87XJutYizUjNzeP4uKSuelVVVJSUs0uKSQtK4h37txJeno6//Zv\n/8bo6Cgf+9jHJIhF2HK73bS3t2G3H6S3t5Ph4dkjO+np6ahqjS985bCbCDdOp5Pm5iYaGzXOO+8C\nv2lUo6KiuPLKa0yqLnwsK4jPO+88zj33XAC8Xu+audZLrB0ej4f29lY0TaO5uRGXywVAUVEe1dV1\nqKqNnJxcCV8RdlwuFy0tzWjawQXNhp2dHYtOvCFOnMWYP7i/DBMTE3z+85/nyiuv5Pzzzw9kXUKs\nOI/HQ1tbGwcOHMBut+N0OgFITU2ltraWuro68vPzJXxFWNu5cydvvvkmALm5udTW1lJbWyv9DkG0\n7J+yhw8f5gtf+ALXXnvtkkNYmrWCKzs7WfbxcfJ6vXR2dqBpdhobdZzOKQCSk1Ow2epRVRv5+QW+\n8LVYLLKPV4C8loMvKyuJwcEJv9uLi614vVEoio2srCwAvF75/F6O7OylzY63rCAeHBzkxhtv5Dvf\n+Q5btsjKRyK0eL1euro60XU7jY2NOByTACQlJbNp02YUxUZhYZH88hVhZ2Zmhra2VnTdTkJCNB/+\n8Ef8xhQVFVNUVGxCdWvXsoL4jjvuYGxsjNtuu41bb70Vi8XCnXfeGbYrY4jQZxgG3d1d6LodXdeZ\nnJz9JZCQkEhDw0ZUtYbCwqI1P9WeCD9er5fW1hY0zU5zc6NvZsOSkgLcbrf0+KwCJ3SO+HjJoY3g\nksN5CxmGQU9Pty98JyZm9018fAKKMru0WnFxyXGFr+zjlSH7OXC8Xi+33voLpqYcpKamoig2bLYa\namutix6aFoET1EPTQqxWhmFw+PAhNM2OrmuMj48BEBcXz/r1G1AUldLSMvnlK8KOx+PBMAy/X7gR\nERGcffa5pKSkkJeXv6DfQawOEsQi5BmGQV9fL3b7QXTdztjYfPjGUVe3HlW1UVpaRmRkpMmVChFY\n882Guq7R2Khz2mkfpKFhk984uexodZMgFiHJMAz6+/vmfvnaGRkZASA2Npba2nWoqkppabmc/xJh\naWhoiDfeeG1Bs2FiYhIreKZRBJB8SomQYRgGAwMDc+d87Rw5cgSAmJgYbLZaVNVGeXmFhK8Ie5OT\nE+zdu8fXbKgoNoqKiuWUS4iSTyyx6g0ODqJps4edh4aGAIiOjkZVbahqDeXlFURHR5tcpRCBNf/F\nc7HlYouKirniiquPu9lQrE4SxGJVGhoaQtftaJqdwcEBYHZeW0VRURQbFRWVcrmcCDtHNxs2NmqM\njY1x001fIDk5ZcG4iIgISkvLzClSBJwEsVg1hoePoOsammanv78PmA3fqqpqFMWG1Vol4SvC1muv\n7WbPntcZHR0F3mk2nJ/rWYQvCWJhqpGRYTRNQ9ft9PX1AhAZGYnVWuUL39jYWJOrFCL4JibGcDqd\n1NTUYbPZpNlwDZH/ZbHixsZGfeF7+PAhYPZQW0VFJYpio6qqmri4OJOrFCKw5s/5Tk+7Fp1C8pRT\nTuP008+U8F2D5H9crIjx8TF0XUPXNXp6uoHZ8C0rK8dmq8FqrfZb61SIcDA4OOjrdxgaGiQ/v4Dr\nrrvBb5y8/tcuCWIRNBMT477w7e7uAmZn8yktLUNVbVRVKSQkJJhcpRDBMTExwSOPPLig2bC6enZq\nVcMwZGYr4SNBLAJqYmKCpiYdXdfo6ur0feCUlJSiKCpVVQpJSUlmlylE0CUmJmIYXl+zYWWlVfod\nxKIkiMUJczgcNDXp2O0HF4RvUVExiqJSXa2QlLS0yc+FCCWjoyNomoaqqqSmpi3YZrFY2LHj03Kd\nr3hfEsRiWaampmhq0tE0O52dHXi9XgAKC4vmrvVV/a59FCIcjI2N+i6zm282NAyDLVtO8RsrISyW\nQoJYLJnT6aSpqRFdt9Pe3uYL3/z8AhTFhqqqpKSkmlylEMGzZ88bPP30U8A7zYaqasNqrTa5MhHK\nJIjFe3K5XAvCd35ygby8fBTFhqIopKWlm1ylECujoKCIkpJSX7NhYmKi2SWJMCBBLPy4XC5aWprR\ndTttba243W4AcnJyUVUbiqKSnp5hcpVCBN7k5CSNjRp9fX2ce+75fttzc3O58sprTKhMhDMJYgHA\n9PQ0ra0taNpBWltbfOGblZU9F742MjMzTa5SiMCbbzac73eYX0rwlFO2+jVgCREMEsRr2MzMDK2t\nLei6nZaWZmZmZgDIzMxEVWtQFBtZWVkmVylEcD300P2+a30LCgpRFBVVtUmzoVgxEsRrjNvtpq2t\nFU2z09LSxPT0NAAZGRlz53xtZGdny2QDYs3YvPkknE4XiqLIL2BhCgniNcDtdtPR0YbdPhu+LpcL\ngLS0NDZu3Iyi2MjJyZHwFWHH5XLR3NyErtspKChky5atfmPWr99gQmVCvEOCOEx5PB46OtrQNI3m\n5kacTicAqamp1Nc3oKo2cnPzJHxF2JmenvaF79HNhnJNr1itJIjDiNfrpa2tFV3XaGzUcTqnAEhO\nTqGubj02Ww15efkSviKsjY2N8fjjjwHSbChCgwRxiPN6vXR1daJpdg4damdgYBiApKRkNm3ajKrW\nUFBQKOErwo7b7SYyMtLvtZ2VlcWHP7ydkpIysrOzTapOiKWTIA5BXq+X7u4udN2Orus4HJMA5OZm\nsnHjJhTFRlFRsYSvWDFerxe7/SBDQ4N4vV7S09Ox2WqJiYkJ6PO8u9nwqquuIzc312/cpk0nBfR5\nhQgmCeIQYRgGPT3dvvCdmBgHICEhkQ0bGlDVGhoaahgamjS5UrGWHDkyxEMPPcDdd99JREQE+fkF\nREREMjg4wNDQINde+wmuu24HhYVFJ/Q83d1d7Nu3l+bmxgXNhpOTE4B/EAsRSiSIVzHDMDh8+BCa\ndhBd1xkfHwMgLi6e+voGFEWlpKTU14QizShiJd1zz2/5wQ++xznnnMftt9/Jxo2bFxyFaWzUufvu\nO9m27VSuu24H3/rWd5b9Gu3u7uLAgbdJSUlh/foNqKpN+h1E2LAY89PIrICBgfGVeqqQZRgGvb2H\n0TQ7um5nbGw+fOOoqlJQFJXS0jIiIyP97pudnSz7OMhkH8/62c/+nYcffoAHHvgfKioq33PskSND\nfOITV1FWVs4vfnH7McPY6/UyOjpCenqG336emBhnbGyM/PwCCd8Akddy8GVnL235V/lFvAoYhkF/\nf58vfEdGRgCIjY2ltnYdNpuN0tLyRcNXiJX2yCMPcv/99/HEE8+Qk5PzvuMzMjL53e8e47LLPsot\nt/yAb37zO75t882G86dcYmKi+cxnPu/3GElJybKmtQhbEsQmmQ3f/rkPIDvDw7PdzjExMdTU1KGq\nNsrKyomKkv8isXrMzMzwgx98j//+74eXFMLz4uPjufvuB9i6dRM33vg5srKy2LXraXRdnzvPO9vv\nUFFR6ZtqVYi1Qj7lV9jAwIAvfIeGhgCIjo7GZpud27m8vILo6GiTqxRicU8++QTl5RV+s1G5XC6e\nf/7nREW9TESEm6mpDWzd+v9ITX1nla7s7GwuvPAiHnjgXr70pa9w+PBhvF4vGzY0oCg2iotLQrLP\nwev1snv3H3A4NGJiyjjllCvkC7Q4LvJqWQFDQ0Pout13eQfMhq+iqCiKjcpKq4SvCAl3330nO3Z8\nasFtHo+HP/7xWm688Snmr1YyjBe5666XqK6+nZycXN+ymTfccCPXX381X/jCl7joootJSkoOyfCd\n19/fw+7dO7jwwt1kZxuMjsJjj91BTc0dlJbazC5PhAgJ4iAZHj6CptnRNDsDA/0AREVFUV2t+MI3\n0NdYChFMXq+Xl1/+Kw888D8Lbn/llYe44orZEDYMOHwY9u+HkZE3+elPv8QVV3yVbdvOAmbndY6M\njKSzs52KCqsZf0ZA/e1vX2PHjleZ7x9LTYVPfGIv9977dUpLd5pbnAgZEsQBNDIyjKZp6Lqdvr5e\nACIjI7Faq1AUG1ZrFbGxsSZXKcTyjI+PER+f4Pcanp5+lYwM6OyEP/wB5todiI2FigoHlZULAzcj\nI8PXkBjKhoePUFz8Eos1cdfX76a1VaeiQln5wkTIkSA+QaOjI+i6jqYdpLf3MDAbvpWVVqqrVaqq\nqomLizO5SiFOXGRkFB6P2+92r3c2mNPSwOGAdeugthasVnj00WJKS8sWjJ+ZcYfFOdTx8XEyMxe/\n/CcnZ4r9+/sACWLx/k7o3bBv3z5+/OMfc9999wWqnpAwNjaKrmvousahQz3A7GQa5eUVqKoNq7Wa\n+Ph4k6sUIrASExMxDIOnnvoT27ef4zu3m59/CXb7fdhsU3ztazB/ld3ICERGfnjBY3g8Hnp7D5GZ\nmbXS5QdcYWERzz9vY8OGt/y27d5dwcaNMs2mWJplB/Gdd97JY489RmJiYiDrWbUmJsZ94dvd3QWA\nxWKhtLQMVbVRVaWQkJBgcpVCBN58s6Gm2amosHLnnb+ipqaW4uISAGprt/LUUzfjct3Ohg2zU6y2\nt8fw5JOXcPHFOxY81tNPP0VZWfkJT3m5GkRGRhIX90l0/R9QlHemlu3qisXluk6+jIslW3YQl5aW\ncuutt/K1r30tkPWsKhMTEzQ2vhO+hmFgsVgoKSn1he9a+SIi1qYnn3yCt97aC8w2G1544UXce+9d\nZGcvvIb4nHO+Q1PThTzwwP9gsbjJzj6HSy45028WrLvu+i9uuGFh13Uo27r1k7z+ehpvvvkAsbHd\nuFy5JCRcxrZt15ldmgghyw7i7du309PTE8haVoXJyUmamnQ0zU5XV6cvfIuKilEUlepqlaSkJLPL\nFGJF5OfnMzk5garWYLVWERMTw5/+9H88/vhjXHbZFQvGVlU1UFXVcMzHevPN13nrrb3cc8+DwS57\nRW3efAlwidlliBC2oh0TS513c6U5HA40TWP//v20t7fj9XoBUJRKamtrqampISUlxeQql2a17uNw\nEk77eHR0lAMHDgCwdetWv+1nnXU6Z511+oLb7r77t5xzzjnU1lZz+umn+91nMY2NjezYcQ2//e1v\nKS5e2hrB4bSfVyvZx6vDCQfx8awZsZomGJ+amqK5uRFNs9PR8U745ucXoKo2FEUlJSUVAJdrddV+\nLDKJe/CFwz4eHx/z9Tv09HQDs3M5W611S1pQoajIyu23/4ZLLrmE73znn7n88iuP2QVtGAa7dj3N\nF7/4eb797e9xyilnLmn/hcN+Xu1kHwffii36EEoroTidTpqbm9B1O+3tbXg8HgDy8vJRFBuqqpKa\nmmZylUIEj9Pp5I47bsPr9fr6HWy2GqqqlON6L59++hk88shjfOMb/49//dcfcN11N3DFFVeTl5dP\nREQEg4OD/PGPf+Cuu+4kMjKS//zPX/km9RBCLBT2yyC6XC5aWprRtIO0tbX6wjcnJ9f3y3d++r1Q\nJ99wgy8c9vFf/rKL1NRUqqvVgDQb7t//Nnff/RueeOKPDA8fASA5OZkzztjGjh2fZsuWrcf9hT0c\n9vNqJ/s4+Jb6izgsg3h6epqWlmZ03U5rawtu9+wkBNnZOaiqjepqlczMzBWpZSXJGyv4Vvs+npyc\npLm5Ebv9IFu2bKWsrHxFn9/r9WIYxgkv2bna93M4kH0cfGtuPeKZmRlaW1vQdTstLc2+pdQyM7Pm\nfvnayMoK/UkEhHi3qakpX6d/Z2eHr9+htLRsxYM4lBdwEMIsIR3EbrebtrZWNO0gLS3NTE9PA7Nz\n2apqjS98Q+k8thDHq7m5kSeffAKYbTZUFBuKoki/gxAhIuSC2O12097ehqbZaWlpwuVyAZCens7G\njZtRFBs5OTkSviLseDyeRQ/5Wq3VnH66A1VVSUtLN6EyIcSJCIkg9ng8dHS0oWkazc2NOJ1OAFJT\nU6mvb8BmqyEnJ1fCV4Sd+WZDXbdz6NAhPvvZz/tdKhQfH8+WLaeYVGFgtLc30tfXQnX1B0hPD7/+\nDSHey6oNYo/HQ2dnB5pmp6mpEadzCoCUlBTWratHVW3k5eVL+Iqw1NioY7cfoKWl2ddsmJWVzfj4\nWNh0+QMMDBzi1Ve/yIYNL7F16yRvvpnHyy9fxCc+cZvZpQmxYlZVEHu9Xjo7O9B1jcZGnakpBwDJ\nySnU1dWhKDYKCgolfEXYe/vtfbS0NJOZmbmg3yHcvPLKTdx443O+f591Vi/j43fw2GPZnHZa+M5j\nL8TRTA9ir9dLd3cXum5H13UcjtlVTBITk9i4cROqWkNhYZGErwg7brcbp9O56Nzlp532IT74wTPI\nzs425bXf2nqQ5uZ7iIoaweOp5pRTPhvwOdYPHHiFD33oJb/bk5PBMHZiGF+V971YE0wJYsMwFoTv\n5OQEAAkJiTQ0bERRbBQVFculECLseDwe2ttbsdtnmw0rKqxceOFFfuNyc3NNqG7WK6/cR1bWP3LN\nNbOTc8zMwMMP/4H6+vvJyysN2PMcOrSfD31oetFtiYl9TE9PExsbG7DnW81mZmbo6uokPT09rE49\niKVZsSA2DIOenu65dU01JiZmLySPj0+gvr4BRVEpKSmV8BVhaWJinBdeeN6v2TAjY3V96DocDgzj\nx2zdesR3W3Q0XHvtW9x33z9z7rl3Buy5KitPYd++JDZsmPDbNj5eQkxMTMCeazV77rlfEBFxPzab\nTnd3Gi+9dDpbt/6EjIylLY4hQt+KBfHPf/5zDh3qByAuLp516+pRFJXS0rITnoVHiNUuOjoGTTtI\nfHwCdXXrUVUb+fkFq+7Q6+7dj3DRRW2LbktI+JtvWdBAqKio47HHtrFu3U6O/gg4dCia5OSrV92+\nCYaXXrqLU075Z4qLZy/DrK09gmH8L7/5zTAf/ejONbEPxAoGscvlmvsAUiktLZfwFWHH6/XS1dVJ\nQUEh0dHRC7bFxsZy/fU3kpGRsao/XD2eGY711oyIcAf8+bZv/zX33ptKTs5z5OQcob29HMO4go9/\n/EtrYvpFp/MRXwjPs1jg7LNfZu/eXTQ0fNikysRKWrEg/spXvsLw8NRKPZ0QK2KxZsOPfvRiVNXm\nNzYU5jc/6aTLeOaZn3DuuYf8tk1Obgz4l4iEhAQuuOBWHA4Ho6MjnHZazjGXVAxHMTE9i95eUjLD\nX//6FiBBvBas2Ct+Lb25xNrw9ttv8eKLz/v6HRISEtmwoYGMjNUfuMeSmprO+PhN6Pq/oiizVzAY\nBuzcWUl19VeD9rwJCQkkJCQE7fFXq+npXKDd7/ZDhyJJS1NXvB5hDklHIZYpJiYGt9sdds2GZ5zx\n9+zdW8vrrz9CTMwITmclDQ2fJze32OzSwk5U1CX09r5BXt7Cw/5/+tMWLrzwXJOqEitNgliIYzAM\ng97ewwwODrJu3Xq/7VZrFVZrVVj2O2zYcBZwltllhL3TT/8czzwzTGLiw2za1EZPTxIHD57KySf/\nZFX3EojAkiAW4iiGYdDf34em2dF1OyMjI0RFRVFdrfhd0xqOASxWlsViYfv2b+FwfAldf4vMzHwu\nuCBw12qL0CBBLMQcwzC499676OvrBWYPPdfU1KGqNulxEEGVkJDA+vVbzC5DmEQ+XYSYY7FYyMvL\nJyMjA0WxUV5e4XcZkhBCBJoEsVhThoaG0LSD5OXlUVlZ5bf9nHPOM6EqIcRaJkEswt7w8BE0zY6m\n2RkYmJ3draqqetEgFkKIlSZBLMJaR0c7Dz/8ADDbXGW1VqEoNqxWCWEhxOogQSzCWmFhEYqiUlk5\ne6lRXFyc2SUJIcQCEsQipI2NjaLrGk1NjVx88WXEx8cv2B4VFcVFF11iUnVCCPH+JIhFyJmYGEfX\nNXRdo7u7C5jteD50qFvO+wohQo4EsQg5L774Am+/vQ+LxUJJSSmqaqOqSiExMdHs0oQQ4rhJEItV\ny+v1Ljp384YNDeTm5lJdrZKUlGRCZUIIETgSxGJVcTgcNDc3oml2LBYLl19+pd+Y/PwC8vMLTKhO\nCCECT4JYmM7j8XDw4H40zU5HRzterxeY7Xj2eDwyp7MQIqxJEAvTWSwWnn/+Lzgck+Tm5qGqNaiq\nSmpqmtmlCSFE0EkQixXjcrmwWCzExMQsuD0iIoLzz7+A9PR00tMzTKpOCCHMIUEsgmp6epqWlmZ0\n3U5rawtnnLGNjRs3+42rqKg0oTohhDCfBLEIir6+XnbvfoWWlmZmZmYAyMzMJDo65n3uKYQQa4sE\nsQiK6elpNM1ORkYGqlqDotjIysrCYrGYXZoQQqwqEsRi2dxuN4cPH6K4uMRvW2FhEddffyM5OTkS\nvkII8R4kiMVx8Xg8dHS0oWkazc2NOJ1ObrrpCyQnpywYFxERQW5urklVCiFE6FhWEBuGwfe+9z10\nXScmJoZ/+Zd/obi4ONC1iVXmhRf+wt69e3A6pwBISUlh3bp6k6sSQojQtqwgfuaZZ5ienuahhx5i\n3759/OhHP+K2224LdG1ilXG7Z4iKimLz5pNQFBsFBYVy2FkIIU7QsoL4jTfe4IMf/CAA9fX17N+/\nP0dENKkAAAj6SURBVKBFCXN4vV66u7vwer2UlZX7bT/ttA9x5plnSfgKIUQALSuIJyYmSE5OfudB\noqKOOUG/WN0Mw6C7uwtdt6PrOpOTE+TnFywaxO+eiEMIIcSJW1YQJyUlMTk56fv3UkM4Ozv5fceI\nE3M8+3hsbIw777yTsbExABISEti0aSu1tbXyf/UeZN+sDNnPwSf7eHVYVhBv3LiR5557jnPPPZe9\ne/dSXV29pPsNDIwv5+nEEmVnJx/XPjYMMIwoKittKIpKSUmpb4EF+b9a3PHuY7E8sp+DT/Zx8C31\ni86ygnj79u289NJLXHnl7BJ1P/rRj5bzMCLIDMOgr68XTbOzYUMDaWnpC7ZbLBauu+4GOecrhBAm\nWlYQWywWvv/97we6FhEAhmHQ398/d87XzvDwMABxcfFs2XKK33gJYSGEMJdM6BFmXnttN88/vwuY\nba6y2WpQ1ZpFm6+EEEKYT4I4zJSXV9DXdxhFsVFRUUl0dLTZJQkhhHgPEsQh5siRIXRdY2Dg/7d3\nfyFRrgkcx3/jqI2Onv7MZu2ptlJzxjZr8bRQxy0iMjIwWo6FogZLEJwlkAj6CxmFWEHdaQTuRRBU\nILLW0sUx7GrgILQnwc2ZzX9RnU6W9s+a1hzfvWiJ7UwdPTn66DvfDwjOzDMzP+ZifvM878vz9mrL\nlj9HPJ6WlvbR+wEAkxNFPAU8fdqvYDCgQKBdvb2PJElOp1MvX76I2OMZADC1UMRTQENDvfr6nsjp\ndCojI1Neb7YyM5fI5XKZjgYAGCOKeBKxLOujZzGvXp2ncHhImZlZSkpKMpAMADBeKGLDBgZevl92\nXrRosfLy1kSMWbr09waSAQAmAkVsQCgUUnv7vxQMBnT//r33M2GP5zemowEAJhhFbMDr1691/fp3\ncjgcmj9/gbxen7KyfEpJSTEdDQAwwSjicRQKheRyuSKO+3o8Hm3eXKhFixYpJYVN1wEgllHEURYK\nhdTR8W8FAu26e7dH5eV/0Zw5cyLGLVuWYyAdAGCyoYijpKurQz/88E/19HQrHA5LkubO/a0GB/9j\nOBkAYDKjiKOkt/exOjs7NGfOXHm92fL5fBFXOwIA4Oco4l9hcHBQz549U1paWsRjOTnLlZWVpVmz\nPAaSAQCmKop4BG/fvlVXV6cCgdvq6upUcnKydu36a8QJWG63W26321BKAMBURRF/Qjgc1rVr/1Bn\n5x0NDg5Kene2s9ebrXA4rPh4PjoAwNjRJp/gdDr17NlTud1u5eaulM+3VLNnz/7oFpQAAHyumC7i\ncDisu3e7NX36THk8kcd2v/lmu5KSkihfAMC4ibkifle+PQoGA7pzJ6g3b95o5co/av36/IixycnJ\nBhICAGJJTBVxT0+3rl5tVCj0WpKUmvqFli3L0dKlywwnAwDEqpgqYo/HI6fTqa++WimvN1vz5s1n\n2RkAYJStitiyLN2/f0+dnR1au3ad4uLiPng8NfULffvtbsoXADBpTPkitixLP/74QIHAbQWDQQ0M\nvJQkZWRkasGC30WMp4QBAJPJlC/iq1f/rkCgXZLkciVp+fI/yOv16csv5xlOBgDAyKZ8ES9enKH4\n+AT5fD4tXLhYTqfTdCQAAEZtUhexZVnq7e1VIHBbCQkJ+vrrP0WMyclZrpyc5QbSAQAwdpOuiC3L\n0uPHjxUMtisYbFd/f78kacaMGVq9Oo9jvAAAW5l0RRwKhXT+/N9kWZYSEhLk82XL681WenoGJQwA\nsB2jRWxZVkS5JicnKy9vjWbN8ig9PUOJiYmG0gEAMP4mvIifPu1XMBhQINCutWvXKT09I2LMx44F\nAwBgRxNWxH6/X99/f1M//fRQ0rurG/X39320iAEAiBUTVsRNTU0Khd4qPT1DXm+2lizJksvlmqi3\nBwBgUpqwIt6yZYs8nnlc0QgAgP8TN/KQ6MjNzaWEAQD4mQkrYgAAEIkiBgDAoDEVcVNTk/bu3Rut\nLAAAxJzPPlmrqqpKfr9f2dnZ0cwDAEBM+ewZcW5uro4ePRrFKAAAxJ4RZ8T19fU6f/78B/dVV1er\noKBALS0t4xYMAIBY4LAsy/rcJ7e0tOjy5cs6ffp0NDMBABAzOGsaAACDKGIAAAwa09I0AAAYG2bE\nAAAYRBEDAGAQRQwAgEEUMQAABk1oEbM39fiwLEuVlZUqLi7Wjh07dO/ePdORbKu1tVXl5eWmY9jS\n0NCQ9u3bp9LSUm3fvl3Nzc2mI9nO8PCwDh06pJKSEpWWlqqjo8N0JNvq6+vTunXr1N3dPeLYz95r\n+tdib+rxc/36dQ0ODurSpUtqbW1VdXW1amtrTceynbq6OjU2NsrtdpuOYktXrlzRzJkzderUKT1/\n/lxbt27V+vXrTceylebmZjkcDl28eFEtLS06c+YM3xXjYGhoSJWVlXK5XKMaP2EzYvamHj83b97U\nmjVrJEkrVqxQW1ub4UT2tHDhQtXU1JiOYVsFBQWqqKiQ9G7mFh8/YfOEmLFhwwYdP35ckvTgwQNN\nnz7dcCJ7OnnypEpKSpSWljaq8VEv4vr6ehUWFn7w19bWpoKCgmi/Ff5nYGBAqamp72/Hx8dreHjY\nYCJ7ys/Pl9PpNB3DtpKSkpScnKyBgQFVVFRoz549piPZUlxcnA4cOKCqqioVFhaajmM7DQ0N8ng8\nysvL02i36Yj6T86ioiIVFRVF+2XxC1JSUvTq1av3t4eHhxUXx3l4mHoePnyo3bt3q6ysTJs3bzYd\nx7ZOnDihvr4+bdu2TdeuXRv1EipG1tDQIIfDIb/fr0AgoP379+vs2bPyeDyffA5rPzaQm5urGzdu\naNOmTbp165aysrJMR7I1NqMbH0+ePNHOnTt15MgRrVq1ynQcW2psbNSjR4+0a9cuTZs2TXFxcfxo\nj7ILFy68/7+8vFzHjh37xRKWKGJbyM/Pl9/vV3FxsaR3l6nE+HE4HKYj2NK5c+f04sUL1dbWqqam\nRg6HQ3V1dUpMTDQdzTY2btyogwcPqqysTENDQzp8+DCf7zga7XcFe00DAGAQaxIAABhEEQMAYBBF\nDACAQRQxAAAGUcQAABhEEQMAYBBFDACAQf8FN8qgutVNXTcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11907e7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import interact, fixed\n",
    "interact(plot_svm, N=[10, 200], ax=fixed(None));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Beyond linear boundaries: Kernel SVM\n",
    "\n",
    "Where SVM becomes extremely powerful is when it is combined with *kernels*.\n",
    "We have seen a version of kernels before, in the basis function regressions of [In Depth: Linear Regression](05.06-Linear-Regression.ipynb).\n",
    "There we projected our data into higher-dimensional space defined by polynomials and Gaussian basis functions, and thereby were able to fit for nonlinear relationships with a linear classifier.\n",
    "\n",
    "In SVM models, we can use a version of the same idea.\n",
    "To motivate the need for kernels, let's look at some data that is not linearly separable:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe4AAAFVCAYAAAApGgzgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11909f048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets.samples_generator import make_circles\n",
    "X, y = make_circles(100, factor=.1, noise=.1)\n",
    "\n",
    "clf = SVC(kernel='linear').fit(X, y)\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(clf, plot_support=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is clear that no linear discrimination will *ever* be able to separate this data.\n",
    "But we can draw a lesson from the basis function regressions in [In Depth: Linear Regression](05.06-Linear-Regression.ipynb), and think about how we might project the data into a higher dimension such that a linear separator *would* be sufficient.\n",
    "For example, one simple projection we could use would be to compute a *radial basis function* centered on the middle clump:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "r = np.exp(-(X ** 2).sum(1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize this extra data dimension using a three-dimensional plot—if you are running this notebook live, you will be able to use the sliders to rotate the plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAFBCAYAAAD69Z+AAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkJQsgUAgEAgmQVKyBAKBQCCYwP8DzZfIxLKdt6oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1188cc780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "\n",
    "def plot_3D(elev=30, azim=30, X=X, y=y):\n",
    "    ax = plt.subplot(projection='3d')\n",
    "    ax.scatter3D(X[:, 0], X[:, 1], r, c=y, s=50, cmap='autumn')\n",
    "    ax.view_init(elev=elev, azim=azim)\n",
    "    ax.set_xlabel('x')\n",
    "    ax.set_ylabel('y')\n",
    "    ax.set_zlabel('r')\n",
    "\n",
    "interact(plot_3D, elev=[-90, 90], azip=(-180, 180),\n",
    "         X=fixed(X), y=fixed(y));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that with this additional dimension, the data becomes trivially linearly separable, by drawing a separating plane at, say, *r*=0.7.\n",
    "\n",
    "Here we had to choose and carefully tune our projection: if we had not centered our radial basis function in the right location, we would not have seen such clean, linearly separable results.\n",
    "In general, the need to make such a choice is a problem: we would like to somehow automatically find the best basis functions to use.\n",
    "\n",
    "One strategy to this end is to compute a basis function centered at *every* point in the dataset, and let the SVM algorithm sift through the results.\n",
    "This type of basis function transformation is known as a *kernel transformation*, as it is based on a similarity relationship (or kernel) between each pair of points.\n",
    "\n",
    "A potential problem with this strategy—projecting $N$ points into $N$ dimensions—is that it might become very computationally intensive as $N$ grows large.\n",
    "However, because of a neat little procedure known as the [*kernel trick*](https://en.wikipedia.org/wiki/Kernel_trick), a fit on kernel-transformed data can be done implicitly—that is, without ever building the full $N$-dimensional representation of the kernel projection!\n",
    "This kernel trick is built into the SVM, and is one of the reasons the method is so powerful.\n",
    "\n",
    "In Scikit-Learn, we can apply kernelized SVM simply by changing our linear kernel to an RBF (radial basis function) kernel, using the ``kernel`` model hyperparameter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=1000000.0, cache_size=200, class_weight=None, coef0=0.0,\n",
       "  decision_function_shape=None, degree=3, gamma='auto', kernel='rbf',\n",
       "  max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
       "  tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf = SVC(kernel='rbf', C=1E6)\n",
    "clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe4AAAFVCAYAAAApGgzgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAwBgI/8FOMqL16Jtqf8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118bb3e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(clf)\n",
    "plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
    "            s=300, lw=1, facecolors='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using this kernelized support vector machine, we learn a suitable nonlinear decision boundary.\n",
    "This kernel transformation strategy is used often in machine learning to turn fast linear methods into fast nonlinear methods, especially for models in which the kernel trick can be used."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tuning the SVM: Softening Margins\n",
    "\n",
    "Our discussion thus far has centered around very clean datasets, in which a perfect decision boundary exists.\n",
    "But what if your data has some amount of overlap?\n",
    "For example, you may have data like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFVCAYAAAAzJuxuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1197ec860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=100, centers=2,\n",
    "                  random_state=0, cluster_std=1.2)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To handle this case, the SVM implementation has a bit of a fudge-factor which \"softens\" the margin: that is, it allows some of the points to creep into the margin if that allows a better fit.\n",
    "The hardness of the margin is controlled by a tuning parameter, most often known as $C$.\n",
    "For very large $C$, the margin is hard, and points cannot lie in it.\n",
    "For smaller $C$, the margin is softer, and can grow to encompass some points.\n",
    "\n",
    "The plot shown below gives a visual picture of how a changing $C$ parameter affects the final fit, via the softening of the margin:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABCIAAAF9CAYAAADRMcnWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119ed0eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=100, centers=2,\n",
    "                  random_state=0, cluster_std=0.8)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "\n",
    "for axi, C in zip(ax, [10.0, 0.1]):\n",
    "    model = SVC(kernel='linear', C=C).fit(X, y)\n",
    "    axi.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    plot_svc_decision_function(model, axi)\n",
    "    axi.scatter(model.support_vectors_[:, 0],\n",
    "                model.support_vectors_[:, 1],\n",
    "                s=300, lw=1, facecolors='none');\n",
    "    axi.set_title('C = {0:.1f}'.format(C), size=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The optimal value of the $C$ parameter will depend on your dataset, and should be tuned using cross-validation or a similar procedure (refer back to [Hyperparameters and Model Validation](05.03-Hyperparameters-and-Model-Validation.ipynb))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Face Recognition\n",
    "\n",
    "As an example of support vector machines in action, let's take a look at the facial recognition problem.\n",
    "We will use the Labeled Faces in the Wild dataset, which consists of several thousand collated photos of various public figures.\n",
    "A fetcher for the dataset is built into Scikit-Learn:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Ariel Sharon' 'Colin Powell' 'Donald Rumsfeld' 'George W Bush'\n",
      " 'Gerhard Schroeder' 'Hugo Chavez' 'Junichiro Koizumi' 'Tony Blair']\n",
      "(1348, 62, 47)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_lfw_people\n",
    "faces = fetch_lfw_people(min_faces_per_person=60)\n",
    "print(faces.target_names)\n",
    "print(faces.images.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot a few of these faces to see what we're working with:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAc4AAAFQCAYAAAA2ip6DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11906eef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, 5)\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(faces.images[i], cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[],\n",
    "            xlabel=faces.target_names[faces.target[i]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each image contains [62×47] or nearly 3,000 pixels.\n",
    "We could proceed by simply using each pixel value as a feature, but often it is more effective to use some sort of preprocessor to extract more meaningful features; here we will use a principal component analysis (see [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb)) to extract 150 fundamental components to feed into our support vector machine classifier.\n",
    "We can do this most straightforwardly by packaging the preprocessor and the classifier into a single pipeline:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.svm import SVC\n",
    "from sklearn.decomposition import RandomizedPCA\n",
    "from sklearn.pipeline import make_pipeline\n",
    "\n",
    "pca = RandomizedPCA(n_components=150, whiten=True, random_state=42)\n",
    "svc = SVC(kernel='rbf', class_weight='balanced')\n",
    "model = make_pipeline(pca, svc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the sake of testing our classifier output, we will split the data into a training and testing set:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.cross_validation import train_test_split\n",
    "Xtrain, Xtest, ytrain, ytest = train_test_split(faces.data, faces.target,\n",
    "                                                random_state=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we can use a grid search cross-validation to explore combinations of parameters.\n",
    "Here we will adjust ``C`` (which controls the margin hardness) and ``gamma`` (which controls the size of the radial basis function kernel), and determine the best model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 47.8 s, sys: 4.08 s, total: 51.8 s\n",
      "Wall time: 26 s\n",
      "{'svc__gamma': 0.001, 'svc__C': 10}\n"
     ]
    }
   ],
   "source": [
    "from sklearn.grid_search import GridSearchCV\n",
    "param_grid = {'svc__C': [1, 5, 10, 50],\n",
    "              'svc__gamma': [0.0001, 0.0005, 0.001, 0.005]}\n",
    "grid = GridSearchCV(model, param_grid)\n",
    "\n",
    "%time grid.fit(Xtrain, ytrain)\n",
    "print(grid.best_params_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The optimal values fall toward the middle of our grid; if they fell at the edges, we would want to expand the grid to make sure we have found the true optimum.\n",
    "\n",
    "Now with this cross-validated model, we can predict the labels for the test data, which the model has not yet seen:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "model = grid.best_estimator_\n",
    "yfit = model.predict(Xtest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take a look at a few of the test images along with their predicted values:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAc4AAAFgCAYAAAAy8JkuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nX8m/P6cIOwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118d01320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4, 6)\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(Xtest[i].reshape(62, 47), cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[])\n",
    "    axi.set_ylabel(faces.target_names[yfit[i]].split()[-1],\n",
    "                   color='black' if yfit[i] == ytest[i] else 'red')\n",
    "fig.suptitle('Predicted Names; Incorrect Labels in Red', size=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Out of this small sample, our optimal estimator mislabeled only a single face (Bush’s\n",
    "face in the bottom row was mislabeled as Blair).\n",
    "We can get a better sense of our estimator's performance using the classification report, which lists recovery statistics label by label:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                   precision    recall  f1-score   support\n",
      "\n",
      "     Ariel Sharon       0.65      0.73      0.69        15\n",
      "     Colin Powell       0.81      0.87      0.84        68\n",
      "  Donald Rumsfeld       0.75      0.87      0.81        31\n",
      "    George W Bush       0.93      0.83      0.88       126\n",
      "Gerhard Schroeder       0.86      0.78      0.82        23\n",
      "      Hugo Chavez       0.93      0.70      0.80        20\n",
      "Junichiro Koizumi       0.80      1.00      0.89        12\n",
      "       Tony Blair       0.83      0.93      0.88        42\n",
      "\n",
      "      avg / total       0.85      0.85      0.85       337\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import classification_report\n",
    "print(classification_report(ytest, yfit,\n",
    "                            target_names=faces.target_names))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We might also display the confusion matrix between these classes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAawAAAGsCAYAAACByJOsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119354160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "mat = confusion_matrix(ytest, yfit)\n",
    "sns.heatmap(mat.T, square=True, annot=True, fmt='d', cbar=False,\n",
    "            xticklabels=faces.target_names,\n",
    "            yticklabels=faces.target_names)\n",
    "plt.xlabel('true label')\n",
    "plt.ylabel('predicted label');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This helps us get a sense of which labels are likely to be confused by the estimator.\n",
    "\n",
    "For a real-world facial recognition task, in which the photos do not come pre-cropped into nice grids, the only difference in the facial classification scheme is the feature selection: you would need to use a more sophisticated algorithm to find the faces, and extract features that are independent of the pixellation.\n",
    "For this kind of application, one good option is to make use of [OpenCV](http://opencv.org), which, among other things, includes pre-trained implementations of state-of-the-art feature extraction tools for images in general and faces in particular."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Support Vector Machine Summary\n",
    "\n",
    "We have seen here a brief intuitive introduction to the principals behind support vector machines.\n",
    "These methods are a powerful classification method for a number of reasons:\n",
    "\n",
    "- Their dependence on relatively few support vectors means that they are very compact models, and take up very little memory.\n",
    "- Once the model is trained, the prediction phase is very fast.\n",
    "- Because they are affected only by points near the margin, they work well with high-dimensional data—even data with more dimensions than samples, which is a challenging regime for other algorithms.\n",
    "- Their integration with kernel methods makes them very versatile, able to adapt to many types of data.\n",
    "\n",
    "However, SVMs have several disadvantages as well:\n",
    "\n",
    "- The scaling with the number of samples $N$ is $\\mathcal{O}[N^3]$ at worst, or $\\mathcal{O}[N^2]$ for efficient implementations. For large numbers of training samples, this computational cost can be prohibitive.\n",
    "- The results are strongly dependent on a suitable choice for the softening parameter $C$. This must be carefully chosen via cross-validation, which can be expensive as datasets grow in size.\n",
    "- The results do not have a direct probabilistic interpretation. This can be estimated via an internal cross-validation (see the ``probability`` parameter of ``SVC``), but this extra estimation is costly.\n",
    "\n",
    "With those traits in mind, I generally only turn to SVMs once other simpler, faster, and less tuning-intensive methods have been shown to be insufficient for my needs.\n",
    "Nevertheless, if you have the CPU cycles to commit to training and cross-validating an SVM on your data, the method can lead to excellent results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [In Depth: Linear Regression](05.06-Linear-Regression.ipynb) | [Contents](Index.ipynb) | [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.07-Support-Vector-Machines.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
